Title :
Characterization of beta, binomial, and Poisson distributions
Author_Institution :
Cairo Univ., Giza, Egypt
fDate :
8/1/1991 12:00:00 AM
Abstract :
Characterizations of beta, binomial, and Poisson distributions are presented by using conditional expectation. The author gives a necessary and sufficient condition for identifying the beta distribution. The power distribution is considered as a special case. The binomial distribution is characterized. A necessary and sufficient condition identifying the Poisson distribution is outlined. Some practical applications are presented
Keywords :
statistical analysis; Poisson distribution; beta distribution; binomial distribution; conditional expectation; power distribution; Books; Covariance matrix; Hazards; Mathematics; Power distribution; Probability; Random variables; Reliability theory; Statistical distributions; Sufficient conditions;
Journal_Title :
Reliability, IEEE Transactions on
